Modeling of Epistemic Uncertainty in Reliability Analysis of Structures Using a Robust Genetic Algorithm

سال انتشار: 1394
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 175

فایل این مقاله در 18 صفحه با فرمت PDF قابل دریافت می باشد

این مقاله در بخشهای موضوعی زیر دسته بندی شده است:

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

JR_IJFS-12-2_003

تاریخ نمایه سازی: 31 خرداد 1401

چکیده مقاله:

In this paper the fuzzy structural reliability index was determined through modeling epistemic uncertainty arising from ambiguity in statistical parameters of random variables. The First Order Reliability Method (FORM) has been used and a robust genetic algorithm in the alpha level optimization method has been proposed for the determination of the fuzzy reliability index. The sensitivity level of fuzzy response due to the introduced epistemic uncertainty was also measured using the modified criterion of Shannon entropy. By introducing bounds of uncertainty, the fuzzy response obtained from the proposed method presented more realistic estimation of the structure reliability compared to classic methods. This uncertainty interval is of special importance in concrete structures since the quality of production and implementation of concrete varies in different cross sections in reality. The proposed method is implementable in reliability problems in which most of random variables are fuzzy sets and in problems containing non-linear limit state functions and provides a precise acceptable response. The capabilities of the proposed method were demonstrated using different examples. The results indicated the accuracy of the proposed method and showed that classical methods like FORM cover only special case of the proposed method.

کلیدواژه ها:

Fuzzy reliability index ، Alpha level optimization method ، Genetic Algorithm ، First order reliability method

نویسندگان

Mansour Bagheri

Department of Civil Engineering, University of Sistan and Baluchestan, Zahedan, Iran

Mahmoud Miri

Department of Civil Engineering, University of Sistan and Baluchestan, Zahedan, Iran

Naser Shabakhty

Department of Civil Engineering, University of Sistan and Baluchestan, Zahedan, Iran

مراجع و منابع این مقاله:

لیست زیر مراجع و منابع استفاده شده در این مقاله را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود مقاله لینک شده اند :
  • G. Alefeld and J. Hertzberger, Introduction to interval computations, Academic ...
  • D. K. Armen and D. Taleen, Multiple design points in ...
  • M. S. Arumugam, M. V. C. Rao and R. Palaniappan, ...
  • S. K. Au and J. L. Beck,Estimation of small failure ...
  • B. M. Ayyub and R. H. McCuen, Probability, statistics, and ...
  • Y. Ben-Haim, Robust reliability in mechanical sciences, Springer, Berlin, ۱۹۹۶ ...
  • K. Breitung, Asymptotic approximations for multinormal integrals, Journal of EngineeringMechanics ...
  • A. DerKiureghian and O. Ditlevsen, Aleatory or epistemic? Does it ...
  • W. Dong and H. Shah, Vertex method for computing functions ...
  • A. H Elhewy, E. Mesbahi and Y. Pu, Reliability analysis ...
  • S. Freitag, W. Graf and M. Kaliske, A material description ...
  • M. Giuseppe and Q. Giuseppe, A new possibilistic reliability index ...
  • D. E. Goldberg, Genetic Algorithms in search, optimization and machine ...
  • F. Grooteman, Adaptive radial-based importance sampling method for structural reliability,Journal ...
  • J. W. Hall and J. Lawry, Fuzzy label methods for ...
  • M. Hanss and S. Turrin, A fuzzy-based approach to comprehensive ...
  • A. M. Hasofer and N. C. Lind, Exact and invariant ...
  • J. C. Helton and W. L. Oberkampf, alternative representations of ...
  • J. E. Hurtado and D. A. Alvarez,Neural network-based reliability analysis: ...
  • J. E. Hurtado, D. A. Alvarez and J. Ramirez, Fuzzy ...
  • P. Inseok and V. Ramana V Grandhi, Quanti cation of model-form ...
  • F. Jalayer, I. Iervolino and G. Manfredi, Structural modeling uncertainties ...
  • S. D. Koduru and T. Haukaas, Feasibility of FORM in ...
  • H. Kwakernaak, Fuzzy random variables - I. De nitions and Theorems, ...
  • H. Kwakernaak, Fuzzy random variables - II.Algorithms and Examples for ...
  • H. O. Madsen, S. Krenk and N. C. Lind, Methods ...
  • F. Massa F, K. Run, T. Tison and B. Lallemand, ...
  • R. E. Melchers, Structural reliability analysis and prediction, ۲nd Ed. ...
  • R. E. Melchers, M. Ahammed and C. Middleton, FORM for ...
  • B. Moller and M. Beer, Fuzzy randomness - uncertainty in ...
  • B. Moller, W. Graf and M. Beer, Fuzzy structural analysis ...
  • B. Moller, W. Graf, M. Beer and R. Schneider,Safety assessment ...
  • A. S. Nowak and K. R. Collins, Reliability of structures, ...
  • M. V. Rama Rao, A. Pownuk, S. Vandewalle and D. ...
  • M. Rashki, M. Miri and M. AzhdaryMoghaddam, A new ecient ...
  • T. V. Santosh, R. K. Saraf, A. K. Ghosh and ...
  • A. Sera nska, M. Kaliske, C. Zopf and W. Graf, A ...
  • M. C. Tae and C. L. Byung, Reliability-based design optimization ...
  • J. R. Timothy, (۲۰۱۰), Fuzzy logic with engineering applications, ۳rd ...
  • M. William and M. Bulleit, Uncertainty in structural engineering, Journal ...
  • L. N. Xing, Y. W. Chen, K. W. Yang, F. ...
  • L. A. Zadeh, Fuzzy sets, Journal of Information Control, ۸(۳) ...
  • H. Zhang, Interval importance sampling method for nite element-based structural ...
  • M. Q. Zhang, M. Beer, S. T. Quek and Y. ...
  • Y. G. Zhao and T. Ono, Moment methods for structural ...
  • H. J. Zimmermann, Fuzzy set theory and its applications, Kluwer ...
  • نمایش کامل مراجع